Question

A fair coin is flipped $5$ times.
The probability of getting more heads than tails is $\frac{1}{2}$

• A. True
• B. False

Answer 1

The correct option is A True

There are 32 sample solutions in the solution set of the 5 coin toss. Since $2^5=32$

Since each head or tail is equally likely the probability of getting more heads is 0.5

3 Heads 2 Tails: Total number of occurences is 5!/(3!*2!)= 10

4 Heads 1 Tail : Total number of occurences is 5!/4!) = 5

5 head 0 Tail : Total number of occurences is 5!/5! = 1

If you add the above occurrences it adds upto 16. So the probability is 16/32 or 1/2.